361048320 has 288 divisors, whose sum is σ = 1326474240. Its totient is φ = 92897280.

The previous prime is 361048309. The next prime is 361048321. The reversal of 361048320 is 23840163.

It is a happy number.

361048320 is a `hidden beast` number, since 3 + 610 + 48 + 3 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (361048321) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1071192 + ... + 1071528.

Almost surely, 2^361048320 is an apocalyptic number.

361048320 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 361048320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (663237120).

361048320 is an abundant number, since it is smaller than the sum of its proper divisors (965425920).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

361048320 is a wasteful number, since it uses less digits than its factorization.

361048320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 398 (or 378 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 361048320 is about 19001.2715363999. The cubic root of 361048320 is about 712.0685032772.

Adding to 361048320 its reverse (23840163), we get a palindrome (384888483).

The spelling of 361048320 in words is "three hundred sixty-one million, forty-eight thousand, three hundred twenty".